CN108603757B - Method for determining surface shape deviations, surface evaluation system - Google Patents

Method for determining surface shape deviations, surface evaluation system Download PDF

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CN108603757B
CN108603757B CN201780008586.8A CN201780008586A CN108603757B CN 108603757 B CN108603757 B CN 108603757B CN 201780008586 A CN201780008586 A CN 201780008586A CN 108603757 B CN108603757 B CN 108603757B
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evaluation
segment
section
measurement
actual surface
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CN108603757A (en
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A·格思
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Bayerische Motoren Werke AG
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Bayerische Motoren Werke AG
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/30Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring roughness or irregularity of surfaces
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/02Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
    • G01B21/04Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness by measuring coordinates of points
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B5/00Measuring arrangements characterised by the use of mechanical techniques
    • G01B5/003Measuring of motor parts
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F16/00Information retrieval; Database structures therefor; File system structures therefor
    • G06F16/90Details of database functions independent of the retrieved data types
    • G06F16/901Indexing; Data structures therefor; Storage structures
    • G06F16/9024Graphs; Linked lists
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F16/00Information retrieval; Database structures therefor; File system structures therefor
    • G06F16/90Details of database functions independent of the retrieved data types
    • G06F16/904Browsing; Visualisation therefor

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  • General Engineering & Computer Science (AREA)
  • Software Systems (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)

Abstract

The invention relates to a method for determining deviations in the shape of real actual surfaces on the basis of perpendicular information of measured points of measured actual surface sections located in a measurement point extension section (M), using evaluation sections which are arranged offset from one another and extend overall over the measurement point extension section (M) and comprise a plurality of iterations, each having the following steps: (a) determining for each of the plurality of measurement points of each evaluation segment a maximum vertical distance, which is the maximum distance between each two measurement points in a predetermined vertical direction, (b) determining an evaluation segment slope, which is a connecting straight line between the lowest point of the evaluation segment and the highest point of the evaluation segment, in a next method step, assigning to the limit criterion a value pair of the maximum vertical distance and the evaluation segment slope, which is determined for its respective evaluation segment in a plurality of iterations. The invention also relates to a surface evaluation system and a computer program product.

Description

Method for determining surface shape deviations, surface evaluation system
Technical Field
The invention relates to a method for determining surface shape deviations, a surface evaluation system and a computer program product.
Background
The invention is particularly useful for determining shape deviations according to DIN 4760, in particular of the order one to four. Preferably the invention is arranged for determining waviness.
DE 102006015627 a1 discloses a method for determining waviness by means of fourier analysis.
Disclosure of Invention
It is an object of the present invention to provide a method, a surface evaluation system and a computer program product for determining the waviness of a surface, which can be implemented simply and provide reliable results.
Furthermore, the object of the invention is to provide a surface evaluation system and a computer program product which can be implemented simply to carry out the method of the invention and which provide reliable results for determining the surface waviness.
The object is achieved by a method for evaluating a deviation in the shape of an actual surface section of a real actual surface from a target surface section on the basis of measured perpendicular information of measurement points of a measurement point group located on the actual surface.
The method according to the invention is used for evaluating the waviness of a real surface section of a real surface on the basis of measured vertical information of measurement points in a measurement point group located on the real surface, said measurement point group being located in a measurement point extension of the real surface section defining the position of the measurement point. The method uses at least one iteration for a combination of evaluation segments which are distributed at least in some regions in the actual surface segment over the set of measurement points or over a measurement point extension segment which defines the position of the measurement points and which are arranged offset from one another and which extend over at least a part of the set of measurement points or the measurement point extension segment as a whole, wherein each iteration comprises the following steps:
(a) determining for each of the plurality of measurement points of each evaluation section a maximum vertical distance, which is the maximum distance between each two measurement points in a predetermined vertical direction, wherein the vertical direction extends transversely to the measurement point extension section and the maximum vertical distance respectively occurs between the evaluation section lowest point and the evaluation section highest point;
(b) determining an evaluation segment slope having a connecting straight line between the evaluation segment lowest point and the evaluation segment highest point on the basis of the distance in the projection thereof between the evaluation segment lowest point and the evaluation segment highest point relative to the maximum perpendicular distance, the target surface segment being an ideal model of the actual surface segment,
in a further method step, the value pairs of the maximum vertical distance and the slope of the evaluation segment, which were determined in each case for their respective evaluation segment in the at least one iteration, are assigned to a limit criterion.
According to one solution according to the invention, the measuring points of the measuring point group are arranged in a row, which forms a measuring point line or a measuring path, so that the measuring point extension is the measuring path or the measuring point line. The method according to the invention can therefore provide for the waviness of the actual surface section of the real actual surface to be evaluated on the basis of the measured vertical information of the measurement points of the actual surface section located on the measurement trajectory. In this respect, one embodiment of the method according to the invention uses at least one iteration, each having a combination of evaluation segments (Anordnung von beerwertungs-Abschnitten) on the measurement trajectory or on the measurement point line, which evaluation segments are arranged offset from one another along the measurement point line and extend over at least a part of the length of the measurement trajectory as a whole. The method comprises at least one iteration, each of which has the following steps:
(a) determining for each of the plurality of measurement points of each evaluation zone a maximum vertical distance, which is the maximum distance between each two measurement points in a predetermined vertical direction, wherein the vertical direction extends transversely to the measurement point lines and the maximum vertical distance respectively occurs between the evaluation zone lowest point and the evaluation zone highest point;
(b) determining an evaluation segment slope having a connecting straight line between the evaluation segment lowest point and the evaluation segment highest point on the basis of the distance of the maximum perpendicular distance relative to the evaluation segment lowest point and the evaluation segment highest point in their projection onto a target surface segment, which is an ideal model of the actual surface segment,
in a further method step, the value pairs of the maximum vertical distance and the evaluation segment slope, which were determined in each case for their respective evaluation segment in the at least one iteration, are assigned to a limit criterion.
The evaluation zone lowest point and the evaluation zone highest point determined for a respective evaluation zone are two measurement points present in the respective evaluation zone.
In accordance with an embodiment of the method, it is provided that the set of measuring points located on the actual surface is a row of measuring points and the measuring point stretch is a measuring point line, on which each measuring point of the set of measuring points is located.
In an embodiment of the method according to the invention, it is alternatively or additionally provided that the set of measurement points located on the actual surface extends over the actual surface in a planar manner and the measurement point extension section is a surface section which delimits the range of the set of measurement points.
According to one embodiment of the method, it is provided that the method comprises at least two iterations and that the combination of the different iterations differs in at least one of the following two properties:
(i) the size of the evaluation sections of different combinations of evaluation sections is at least partly different,
(ii) the positions of the evaluation sections of different evaluation section combinations on the measuring point extension section are at least partially different.
In this case, it can be provided, in particular, that the evaluation sections of the respective evaluation section combination overlap at least in two iterations and that the evaluation section combinations differ by different overlap amounts of the evaluation sections.
One embodiment of the method provides that the evaluation segment combination completely covers the measurement point extension segment in at least one iteration.
In accordance with an embodiment of the method, it is provided that the evaluation sections of the evaluation section combinations of a respective iteration have the same section length.
In accordance with an embodiment of the method, it is provided that the evaluation sections of the evaluation section combinations of different iterations have different sizes.
According to one embodiment of the method, it is provided that at least some of the evaluation sections of a combination of evaluation sections extending over the respective measuring point extension section overlap at least in part.
According to one specific embodiment of the method, it is provided that the target surface section is a cylindrical surface section and the measuring point extension section extends over the circumference of the cylindrical surface section. In particular, it can be provided here that the combination of evaluation segments of at least one iteration extends over more than one circumference and that the measurement path of the next subsequent circumference is used in the respective segment of the evaluation segment which extends over more than one circumference.
According to one embodiment of the method, the assignment of the respective pairs of maximum vertical distance and evaluation segment slope to the limit criterion is graphically carried out by plotting the pairs into a value range formed by the coordinate axes for the evaluation segment slope and the coordinate axes for the maximum vertical distance, and the limit criterion is a limit curve extending in the value range, which divides the value range into a side with an allowable deviation from the target surface and a side with an unallowable deviation.
According to one embodiment of the method, the limit criterion is a standard value and in particular a numerical criterion, a value pair value and in particular a numerical value is determined for each value pair of the evaluation section, and the assignment of the limit criterion and the value pair is carried out by comparing the standard value and the value pair value.
According to a further aspect of the invention, a computer program product is provided, which is designed to carry out one embodiment of the method according to the invention.
According to a further aspect of the invention, a surface evaluation system for evaluating deviations of actual surface portions of a real actual surface from target surface portions is provided, comprising a sensor system for determining vertical information of the actual surface portions, an evaluation device having an interface to the sensor system, which evaluation device has an evaluation function which performs at least one iteration in each case for a combination of evaluation portions which are distributed at least in places over measurement point runs in the actual surface portions and are arranged offset from one another, and which evaluation function has a processing function, the following steps being performed:
(a) determining for each of the plurality of measuring points of each evaluation zone a maximum vertical distance, which is the maximum distance between each two measuring points in a predetermined vertical direction, wherein the vertical direction extends transversely to the measuring point extension zone and the maximum vertical distance respectively occurs between the evaluation zone lowest point and the evaluation zone highest point,
(b) determining an evaluation segment slope having a connecting straight line between the evaluation segment lowest point and the evaluation segment highest point on the basis of the distance in the projection thereof between the evaluation segment lowest point and the evaluation segment highest point relative to the maximum perpendicular distance, the target surface segment being an ideal model of the actual surface segment,
in a further method step, the value pairs of the maximum vertical distance and the slope of the evaluation segment, which were determined in each case for their respective evaluation segment in the at least one iteration, are assigned to a limit criterion.
In accordance with a further embodiment of the surface evaluation system according to the invention, it is provided that the processing function is designed to carry out one embodiment of the method according to the invention.
The term "along" in the context of a direction statement mentioned in the present text, which can relate to a contour line course or a surface section course or can relate to a direction of a mechanical component, such as an axis or a shaft, means in particular that a tangent or a longitudinal extent on the respective contour line or on the respective surface in its course according to the direction statement and, for example, a central axis of the mechanical component are locally offset by an angle of at most 45 degrees and preferably at most 30 degrees from a reference direction or reference axis to which the respective direction statement relates.
The term "transverse" in the context of the direction statements mentioned in the present text, which can relate to contour line runs or surface section runs or can relate to a direction of a mechanical component, such as an axis or a shaft, means in particular that a tangent or a longitudinal extent on the respective contour line or on the respective surface in its course according to the direction statement and, for example, a central axis of the mechanical component are locally offset by an angle of at least 45 degrees and preferably at least 60 degrees from a reference direction or reference axis to which the respective direction statement relates.
The term "generally" especially means that the relevant feature is not limited only to this embodiment in which the term "generally" is used in view of the respective feature in this case, but may also be present in any other embodiment described herein.
Drawings
Embodiments of the invention are described below with reference to the accompanying drawings, in which:
fig. 1 shows a graph of measured values of the vertical information of a measurement trajectory generated on an actual surface section, which is exemplary a journal surface of a crankshaft;
fig. 2 shows a schematic illustration of an actual surface section, in which a measuring point extension section in the form of a measuring track for applying the method according to the invention and an evaluation section are depicted by way of example, which are arranged offset transversely to the measuring track only for the sake of clarity, while the evaluation section is located on the measuring track according to the method according to the invention;
fig. 3 shows a schematic representation of an actual surface section, in which a measuring point extension section in the form of a surface section and an evaluation section for applying the method according to the invention are depicted by way of example;
fig. 4 shows a graph according to fig. 1, in which the evaluation zone lowest point and the evaluation zone highest point of an evaluation zone and the connecting straight line between them are plotted as an example for determining the evaluation zone slope;
fig. 5 shows a graph in which the maximum vertical distance and the evaluation segment slope are assigned to the limit criterion.
Detailed Description
The method according to the invention first measures the vertical information and in particular the height coordinates of the points of the actual surface section S1 along a measuring trajectory M1, which is generated in the longitudinal direction L1 of the actual surface section S1. The vertical information contains the values of the points with respect to a predetermined vertical direction, which extends transversely to the measuring track. The vertical information may also contain a position specification regarding the position of the corresponding point on the measurement trajectory.
The vertical information may be a height value based on a coordinate system with vertical coordinates, which height value is determined in a vertical direction transverse to the extension of the measuring point or its local orientation at the respective measuring point. In this case, the measurement point extension section can also be regarded as a development on the reference plane, so that the vertical direction extends transversely and in particular perpendicularly to the plane of the reference plane.
Fig. 1 shows the measured values or vertical information of the measuring points along the measuring point line or measuring trajectory M1 shown in fig. 2. The vertical direction is preferably predetermined in a suitable manner for the respective application of the method according to the invention. The vertical direction extends in the given case perpendicularly to the surface S1. The measured value profile of fig. 1 is defined by the crankshaft angle illustrated as the position of the corresponding measuring point on the surface S1. The measured values on the measuring point line are plotted on the ordinate axis, so that the curve profile of the surface plotted on the measuring point line is obtained.
The actual surface segment S1 intended for applying the method according to the invention may be, in particular, a surface segment of a functional or control surface. The surface section may be part of the functional surface or completely comprise the functional surface. The functional surface may belong to a machine part. For example, a surface segment or a functional surface is a control surface of the first machine part, with which the first machine part acts on the second machine part in order to actuate the second machine part. For example, the functional surface is a journal surface of the crankshaft, on which the connecting rod acts.
The functional surfaces and thus the actual surface section S1, viewed in the longitudinal direction L1, can be shaped differently. In particular, the actual surface section S1 may be shaped flat, i.e. planar, or curved.
In one specific embodiment of the invention, the actual surface section S1 is an annular surface and in particular a cylinder circumference, where the measurement path extends in the radial direction. An example hereof is the journal surface of a crankshaft.
The maximum permissible waviness is required for the functional surface concerned, in particular to ensure the function of this functional surface. The waviness can be detected by the method according to the invention in order to evaluate the functional suitability of such a machine part.
Each measuring point of a measuring point group is arranged on the actual surface and extends over a measuring point extension section M which defines or defines the position of the measuring point group on the actual surface.
According to one embodiment of the method, the measuring points of the measuring point group are arranged in a row, which forms a measuring track, so that the measuring point extension is the measuring track or the measuring point line. Such a measuring point line may extend linearly or curvilinearly. Rather, there can also be measurement lines from which discrete measurement points lying thereon can be derived to form a measurement point group. This can be done, for example, according to a random method, by predetermining the distance between every two measurement points, optionally also a maximum number of measurement points. The individual evaluation sections of an evaluation section combination are arranged one behind the other in the longitudinal direction L1.
In this case, the evaluation section is preferably designed as a line segment.
The measuring point groups can also be distributed over the actual surface. In the case of the measuring point run M, a continuous boundary line can be defined which defines the respective outermost point with respect to the planar run and thus defines the extent of the measuring point group of the planar distribution. For the measuring point extension section M, a predetermined extension direction can be defined with respect to the evaluation section combination.
In this case, the evaluation section is preferably designed as a flat section.
The term "distribution" in this case in particular means: the respective measuring point extension section M is completely or partially covered by the evaluation sections, i.e. the evaluation sections do not have to completely cover the respective measuring point extension section M, but can completely cover it.
The measurement of the profile curve of the actual surface section S1 and thus the determination of the vertical information takes place by means of the measuring sensors or measuring heads of the sensor system. The measuring head or the sensor system is moved along a defined measuring path, and in particular relative or absolute height information is measured as vertical information for each point of the path. These points are the measurement points of the actual surface section which lie on the measurement trajectory.
The sensor system can be, in particular, a distance measuring system having a measuring head for detecting the distance from the measuring head to a corresponding point of the functional surface to be detected. The distance to the measuring point or the corresponding point of the measuring trajectory M1 is the vertical information. The vertical information can be converted for example with reference to a coordinate system and in this way for the respective application.
From this distance, a vertical information item can be determined for each point on the measuring line or measuring trajectory M1. During the measurement of the contour curve, the measuring head is moved along a predetermined measuring path, preferably at a predetermined distance, over the actual surface section S1, so that the vertical information is determined from the distance of the measuring head or the sensor from the surface at a predetermined sensor travel.
In the method according to the invention, a combination comprising a plurality of evaluation sections is assigned to the measurement point line or the measurement trajectory M1. At least one iteration is used in each case for a combination of evaluation segments on the measurement path, which are arranged offset from one another along the measurement path and extend over at least a part of the length of the measurement path as a whole. The evaluation sections of the evaluation section combination can extend completely over the respective measurement trajectory, covering it. Conversely, it can also be provided that the evaluation sections of the evaluation section combination do not extend completely over the respective measurement path, so that they do not completely cover the measurement path.
Fig. 2 shows an exemplary combination of evaluation segments F1, F2, F3, F4 on an extension segment M in the form of a measurement point line or a measurement trajectory M1 extending in the longitudinal direction L1. In this embodiment of the combination of evaluation sections F1, F2, F3, F4, evaluation sections F1, F2, F3, F4 have the same length LF. In addition, the evaluation segments F1, F2, F3, F4 overlap by an overlap length L, which constitutes an overlap amount. The overlap length may be expressed as a fraction of the length LF.
According to the inventive method, the iterations respectively comprise the following steps:
(a) determining for each of the plurality of measurement points of each evaluation section a maximum vertical distance, which is the maximum distance between each two measurement points in a predetermined vertical direction Y, wherein the vertical direction Y extends transversely to the measurement point line or measurement trajectory M1 and the maximum vertical distance occurs between the evaluation section lowest point P1 and the evaluation section highest point P2, respectively;
(b) an evaluation segment slope is determined which has a connecting straight line between the evaluation segment nadir and the evaluation segment apex based on the distance Δ X of the maximum perpendicular distance Δ Y relative to the evaluation segment nadir P1 and the evaluation segment apex P2 in their projection onto a target surface segment which is an ideal model of the actual surface segment.
The method uses at least one iteration for each combination of evaluation segments on the measurement point line M1. In general, it is preferred here to provide evaluation segments which cover the actual surface segment S1 in terms of length and number in one iteration. Independently of this, it is generally preferred to vary one or more of the following decision parameters of the evaluation section in each iteration:
(1) the distance or amount of overlap between each two adjacent evaluation segments;
(2) the size, i.e. the length, of the evaluation sections, for example the evaluation sections F1, F2, F3, F4.
Fig. 3 shows an evaluation section minimum point P1 and an evaluation section maximum point P2 and the determination of the slope of the evaluation section for example for the evaluation section F1: there are no two points within the evaluation segment F1 that are spaced further apart in the Y direction than the evaluation segment lowest point P1 and the evaluation segment highest point P2.
Fig. 3 shows an actual surface section S1 with a measuring point extension section M in the form of a surface section M2 and an exemplary depicted set of measuring points P. The group of measurement points located on the actual surface extends over the actual surface in a planar manner. The measuring point extension section M is a planar section which delimits the range of the measuring point group. In particular, it can be provided here, as shown in the drawing, that the boundary line is convexly curved when viewed outside the measuring point extension M.
The method uses at least one iteration for one evaluation segment combination. Two evaluation sections a1, a2 are depicted in fig. 3 by way of example. It is generally preferred to provide evaluation segments that cover the actual surface segment S1 in terms of shape, size and number in one iteration. Independently of this, it is generally preferred to change one or more of the following decision parameters of the evaluation section in a plurality of iterations:
(1) the distance or amount of overlap between each two adjacent evaluation segments;
(2) evaluating the shape of the section;
(3) the size of the evaluation section, e.g. the length and/or width of the respective evaluation section a1, a 2.
Fig. 4 shows an exemplary determination of the slope of the evaluation section by means of the evaluation section F1 of fig. 2, the evaluation section F1 having the greatest vertical distance Δ Y, i.e., the distance between the evaluation section lowest point P1 and the evaluation section highest point P2. The distances of the evaluation segment lowest point P1 and the evaluation segment highest point P2 in their projection onto the target surface segment S1 are denoted by "Δ X".
In step (b), the slope of the connecting straight line between the evaluation section lowest point P1 and the evaluation section highest point P2 is also determined for the evaluation section slope alternatively on the basis of the maximum vertical distance with respect to the horizontal distance in the direction of the measuring track.
The evaluation segment minimum and maximum and the evaluation segment slope can thus be determined from the existing measurement points of the respective evaluation segment, so that for each evaluation segment F1, F2, F3, F4 a value pair, i.e. the maximum vertical distance and the evaluation segment slope, respectively, is determined.
In the embodiment shown in fig. 1 and 4, the target surface segment S1 is a cylindrical surface segment. The measurement path M1 extends over the circumference of the cylindrical surface section.
According to one embodiment of the method, it can be provided that the evaluation section combinations of at least one iteration extend over more than one circumference and that a measurement track of the next subsequent circumference is used in the respective section of the evaluation section which extends over more than one circumference.
It can also be provided that the respective evaluation section is not used for the evaluation by means of the limit criterion when the evaluation section lowest point and the evaluation section highest point are located at an end or an edge point of the evaluation section and in particular at the opposite end or edge point.
According to the method of the invention, in a further method step, the value pairs of the maximum vertical distance and the evaluation segment slope, which are determined in each case for their respective evaluation segment in the at least one iteration, are assigned to the limit criterion.
According to the embodiment shown in fig. 5, this allocation can be implemented as follows: assigning the value pair of the maximum vertical distance and the evaluation segment slope to the limit criterion is graphically carried out by plotting the value pair into a value range formed by the coordinate axis U for the evaluation segment slope and the coordinate axis V for the maximum vertical distance. Here, the limit criterion is a limit curve G1 extending in a range that divides the range into a side having an allowable deviation from the target surface and a side having a non-allowable deviation. A second limit curve G2, which extends at least partially at a safety distance to the limit curve G1 and can be used as an additional or additional limit criterion, can also be drawn in the value range. When defining the two limit curves G1, G2, they define a first limit region K1 below the first limit curve G1, a second limit region K2 between the first limit curve G1 and the second limit curve G2, and a third limit region K3 above the limit curve G2 (fig. 5). The position of the measuring point in one of the extreme areas can be used to determine the shape deviation from the actual surface.
The evaluation shown in fig. 5 by means of at least one limit curve can also be carried out analytically, for example by means of a software algorithm in a computer program product.
The assignment of the points plotted in the value domain to the limit curve G1 can be evaluated by plotting the regions B1, B2, B3, B4 along the slope of the evaluation segment.
Alternatively or additionally, the limit criterion may be a criterion value and in particular a numerical criterion for the maximum permissible vertical distance, which may depend on the evaluation segment slope.

Claims (15)

1. Method for evaluating a deviation of a shape of an actual surface section (S1) of a real actual surface from a target surface section on the basis of measured perpendicular information of measurement points (P) of a set of measurement points (P) located on the actual surface, the set of measurement points (P) being located in a measurement point extension section (M) of the actual surface section (S1) defining measurement point positions, the method using at least one iteration each for a combination of evaluation sections which are distributed at least locally over the measurement point extension section (M) in the actual surface section and which are arranged offset from one another, wherein each iteration comprises the following steps:
(a) determining for each of the plurality of measuring points of each evaluation section a maximum vertical distance, which is the maximum distance between each two measuring points in a predetermined vertical direction, wherein the vertical direction extends transversely to the measuring point extension section (M) and the maximum vertical distance occurs between the evaluation section lowest point (P1) and the evaluation section highest point (P2), respectively;
(b) determining an evaluation segment slope having a connecting straight line between the evaluation segment lowest point and the evaluation segment highest point on the basis of the distance in the projection thereof between the evaluation segment lowest point and the evaluation segment highest point relative to the maximum perpendicular distance, the target surface segment being an ideal model of the actual surface segment,
in a further method step, the value pairs of the maximum vertical distance and the slope of the evaluation segment, which were determined in each case for their respective evaluation segment in the at least one iteration, are assigned to the limit criterion.
2. The method according to claim 1, wherein the set of measurement points located on the actual surface is a row of measurement points and the measurement point extension (M) is a measurement point line (M1) on which the measurement points of the set of measurement points are located.
3. Method according to claim 1, wherein the set of measurement points located on the actual surface extends over the actual surface in a planar manner and the measurement point extension section (M) is a surface section (M2) which delimits the range of the set of measurement points.
4. The method of any one of claims 1 to 3, wherein the method comprises at least two iterations and the combination in different iterations differs in at least one of the following two properties:
(i) the size of the evaluation sections of different combinations of evaluation sections is at least partly different,
(ii) the positions of the evaluation sections of different evaluation section combinations on the measuring point extension section are at least partially different.
5. The method according to any one of claims 1 to 3, wherein the evaluation sections of the respective evaluation section combinations overlap at least in two iterations and the evaluation section combinations differ by different amounts of overlap of the evaluation sections.
6. The method according to any one of claims 1 to 3, wherein the evaluation segment combination completely covers the measurement point extension segment (M) in at least one iteration.
7. The method of any one of claims 1 to 3, wherein the evaluation segments of a combination of evaluation segments of a respective iteration have the same segment length.
8. The method of any of claims 1 to 3, wherein evaluation segments of different iterative evaluation segment combinations have different sizes.
9. Method according to one of claims 1 to 3, wherein at least some of the evaluation segments of a combination of evaluation segments extending over the respective measurement point extension segment (M) overlap each other at least in part.
10. A method according to any one of claims 1 to 3, wherein the target surface segment is a cylindrical surface segment and the measurement point extension segment (M) extends over the circumference of the cylindrical surface segment.
11. The method according to one of claims 1 to 3, wherein assigning the respective pairs of maximum vertical distance and evaluation segment slope to the limit criterion is graphically performed by plotting the pairs into a range of values formed by a coordinate axis for evaluating the segment slope and a coordinate axis for the maximum vertical distance, and the limit criterion is a limit curve extending in the range of values, which limit curve divides the range of values into a side with an allowed deviation and a side with a non-allowed deviation from the target surface.
12. A method according to any one of claims 1 to 3, wherein the limit criterion is a standard value, a value pair value is determined for the value pair of the respective evaluation zone, and the assignment of the limit criterion and the value pair is effected by comparing the standard value and the value pair value.
13. The method of claim 12, wherein the limit criterion is a numerical criterion, a numerical value being determined for a value pair of the respective evaluation segment.
14. Surface evaluation system for evaluating shape deviations of an actual surface section (S1) of a real actual surface from a target surface section, comprising a sensor system for determining vertical information of the actual surface section, an evaluation device having an interface to the sensor system, the evaluation device having an evaluation function which performs at least one iteration each for a combination of evaluation sections, which evaluation sections are distributed at least locally in the actual surface section over a measurement point extension section (M) and are arranged offset from one another, the evaluation function having a processing function which carries out the following steps:
(a) determining for each of the plurality of measuring points of each evaluation section a maximum vertical distance, which is the maximum distance between each two measuring points in a predetermined vertical direction, wherein the vertical direction extends transversely to the measuring point extension section (M) and the maximum vertical distance respectively occurs between the evaluation section lowest point and the evaluation section highest point;
(b) determining an evaluation segment slope having a connecting straight line between the evaluation segment nadir and the evaluation segment apex based on the maximum perpendicular distance relative to the distance between the evaluation segment nadir and the evaluation segment apex in its projection onto a target surface segment (S1), the target surface segment being an ideal model of the actual surface segment,
in a further method step, the value pairs of the maximum vertical distance and the slope of the evaluation segment, which were determined in each case for their respective evaluation segment in the at least one iteration, are assigned to a limit criterion.
15. The surface evaluation system of claim 14 wherein the processing functionality is designed to implement the method of one of claims 2 to 13.
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